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help me quick please! i need it. hope you have a good night!

Help Me Quick Please I Need It Hope You Have A Good Night class=

Sagot :

Answer:

cot θ = [tex]\frac{7\sqrt{51} }{51}[/tex]

sin θ = [tex]\frac{\sqrt{51} }{10}[/tex]

csc θ = [tex]\frac{10\sqrt{51} }{51}[/tex]

Step-by-step explanation:

First find the opposite side of angle θ by using the Pythagorean Theorem:

10² - 7² = (opposite side)²

100 - 49 = 51 => opposite side = √51

Use SohCahToa to find the values:

cot θ = adjacent/opposite = 7/√51 = [tex]\frac{7\sqrt{51} }{51}[/tex] (rationalize)

sin θ = opposite/hypotenuse = [tex]\frac{\sqrt{51} }{10}[/tex]

csc θ = hypotenuse/opposite = 10/√51 = [tex]\frac{10\sqrt{51} }{51}[/tex] (rationalize)

Hope this helps!